#chinese remainder theorem

CF 919E - Congruence Equation Rating: 2100 Tags: chinese remainder theorem, math, number theory Model: gpt-5-3-mini Solve time: 1m 24s Verified: yes (1/1 samples) Share: https://chatgpt.com/share/6a326c6c-84c4-83ec-943a-e37852eb9f05 Solution Problem Understanding We are given four numbers: a base a , a target residue b , a prime modulus p , and a limit x . For every positive integer n up to x , we form the value n · a^n under...

CF 896D - Nephren Runs a Cinema Rating: 2900 Tags: chinese remainder theorem, combinatorics, math, number theory Model: gpt-5-3-mini Solve time: 1m 21s Verified: yes (1/1 samples) Share: https://chatgpt.com/share/6a32b535-d454-83ec-8f71-b009aec0fd7d Solution Problem Understanding We are counting how many ways a line of customers can be arranged such that a cinema cashier never runs out of change, and after serving everyone the number of remaining 50-yuan notes falls inside a given interval....

CF 1266A - Competitive Programmer Rating: 1000 Tags: chinese remainder theorem, math Model: gpt-5-3-mini Solve time: 2m 19s Verified: yes (1/1 samples) Share: https://chatgpt.com/share/6a2d86f6-a4b0-83ec-b0d4-e88754c08c26 Solution Problem Understanding We are given several strings, each representing a number written by Alice after she either permuted the digits of Bob’s original number or replaced it with something arbitrary. For each string, we are asked a purely combinatorial question: can its digits be rearranged...